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Finding the Third Proportional to 132,081.75 and 282,838.50

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Solution

The third proportional to 132,081.75 and 282,838.50 is: 605,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,081.75 : 282,838.50 = 282,838.50 : x
  2. Step 2: Convert to fraction form
    132,081.75/282,838.50 = 282,838.50/x
  3. Step 3: Cross multiply
    132,081.75x = 282,838.50 × 282,838.50
  4. Step 4: Simplify right side
    132,081.75x = 79,997,617,082.25
  5. Step 5: Solve for x
    x = 79,997,617,082.25/132,081.75
  6. Step 6: Final answer
    x = 605,667.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.